Two siblings’ ages have a sum of 64 years. The older sibling was born 6 years before their young sibling. Write a system of 2 eq

Question

Two siblings’ ages have a sum of 64 years. The older sibling was born 6 years before their young sibling.

Write a system of 2 equations. Solve the system using substitution. Report your answer in the form of (older, younger).

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Thu Cúc 4 years 2021-07-19T14:38:32+00:00 1 Answers 8 views 0

Answers ( )

  1. Thunguyet
    0
    2021-07-19T14:40:08+00:00
    Reply

    Hi!

    So we have to make a system of equations here.

    Let sibling 1 be O and sibling 2 be Y (for older and younger)

    So:

    O + Y = 64

    O = 64 – Y

    (Either one works)

    The older sibling is 6 years older.

    O = Y + 6

    Make everything in terms of Y.

    64 – Y = Y + 6

    Same to both:

    58 = 2y

    2y = 58

    Divide by 2 on both sides:

    y = 29

    Since the older sibling is 6 years older:

    29 + 6 = 35

    Y = 29

    O = 35

    Let me know if you have any questions.

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